Often a vector is specified by a magnitude and a direction; for example, a rope

Question

Often a vector is specified by a magnitude and a direction; for example, a rope with tension T? exerts a force of magnitude Tin a direction 35 degrees north of east. This is a good way to think of vectors; however, to calculate results with vectors, it is best to select a coordinate system and manipulate the components of the vectors in that coord

inate system.

Part 1. Find the components of the vector with length a and angle ? with respect to the x axis as shown, named A? . Don't forget that when multiplying two factors, you must include a multiplication symbol; also, the cos and sin functions must have parentheses around their arguments. For example, a vector might take the form p*sin(Q),m*cos(N). Write the components in the form x,y.

Often a vector is specified by a magnitude and a direction; for example, a rope with tension T? exerts a force of magnitude Tin a direction 35 degrees north of east. This is a good way to think of vectors; however, to calculate results with vectors, it is best to select a coordinate system and manipulate the components of the vectors in that coord inate system. Find the components of the vector with length a and angle ? with respect to the x axis as shown, named A? . Don't forget that when multiplying two factors, you must include a multiplication symbol; also, the cos and sin functions must have parentheses around their arguments. For example, a vector might take the form p*sin(Q),m*cos(N). Write the components in the form x,y. Find the components of the vector with length b and angle ? with respect to the x axis as shown, named B? . Write the components in the form x,y. Find the components of the vector with length c and angle ? as shown, named C? . Express your answer in terms of c and ?. Write the components in the form x,y.

Explanation / Answer

1)

a*cos(alpha), a*sin(alpha)

2)

b*cos(beta), b*sin(beta)

3)

-c*sin(phi) , c*cos(phi)

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.